Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems
Joint Authors
Lin, Xiaoyan
Zhang, Qi-Ming
Tang, XianHua
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We give several sufficient conditions under which the first-order nonlinear Hamiltonian system x'(t)=α(t)x(t)+f(t,y(t)), y'(t)=-g(t,x(t))-α(t)y(t) has no solution (x(t),y(t)) satisfying condition 0<∫-∞+∞[|x(t)|ν+(1+β(t))|y(t)|μ]dt<+∞, where μ,ν>1 and (1/μ)+(1/ν)=1, 0≤xf(t,x)≤β(t)|x|μ, xg(t,x)≤γ0(t)|x|ν, β(t),γ0(t)≥0, and α(t) are locally Lebesgue integrable real-valued functions defined on ℝ.
American Psychological Association (APA)
Lin, Xiaoyan& Zhang, Qi-Ming& Tang, XianHua. 2013. Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-480487
Modern Language Association (MLA)
Lin, Xiaoyan…[et al.]. Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-480487
American Medical Association (AMA)
Lin, Xiaoyan& Zhang, Qi-Ming& Tang, XianHua. Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-480487
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480487